Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators
In the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented.
Md. Nasiruzzaman +3 more
doaj +1 more source
Korovkin-type Theorems and Approximation by Positive Linear Operators [PDF]
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems and to some of their applications concerning the approximation of continuous functions as well as of L^p-functions, by means of positive linear operators.
Altomare, Francesco
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Convergence by Class of Kantorovich-Type q-Szász Operators and Comprehensive Results
In this paper, we primarily use Stancu variants of Kantorovich-type operators to investigate the convergence and other associated properties of new Szász–Mirakjan operators.
Md. Nasiruzzaman +2 more
doaj +1 more source
Polynomial spaces revisited via weight functions
167-198International audienceExtended Chebyshev spaces are natural generalisations of polynomial spaces due to the same upper bounds on the number of zeroes.
Mazure, Marie-Laurence
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A generalization of the Lupaș \(q\)-analogue of the Bernstein operator
We introduce a Stancu type generalization of the Lupaș \(q\)-analogue of the Bernstein operator via the parameter \(\alpha\). The construction of our operator is based on the generalization of Gauss identity involving \(q\)-integers.
Zoltan Finta
doaj +2 more sources
Shape preserving approximation properties to family of α-Bernstein shifted knot operators
The main idea of this paper is to obtain approximation results by utilizing the shifted knots properties of the family of α-Bernstein operators. We examine some basic results and estimate the moments of this new family of α-Bernstein operators. We derive
Mohammad Ayman-Mursaleen +2 more
doaj +1 more source
Uniform approximation by generalized $q$-Bernstein operators [PDF]
Finta, Zoltan
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A Dunkl type generalization of Szász operators via post-quantum calculus. [PDF]
Alotaibi A, Nasiruzzaman M, Mursaleen M.
europepmc +1 more source
The approximation of bivariate Chlodowsky-Szász-Kantorovich-Charlier-type operators. [PDF]
Agrawal PN +3 more
europepmc +1 more source
Approximation by a new sequence of operators involving Laguerre polynomials
This paper offers a newly created integral approach for operators employing the orthogonal modified Laguerre polynomials and P\u{a}lt\u{a}nea basis. These operators approximate the functions over the interval $[0,\infty)$.
Deo, Naokant +2 more
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